1) A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from zero to 4.89 m/s over a time interval of 0.522 s. What impulse and average force does a 74 kg passenger in the car experience?
2) A figure skater rotates about a vertical axis through her center with both arms and one leg extended. Her rotation rate is 0.451 rev/s. She then pulls her arms and leg in closer to her body and begins to spin at 1.68 rev/s. What is the ratio of her new moment of inertia to her old?
3) A 723-N person stands on a uniform board of weight 282 N and length 6.1 m. The board is supported 1.00 meter in from the left end and 0.500 meters in from the right end. The support force 1.00 meters in from the left end is 683 N.
a) What is the support force 0.500 meters in from the right end?
b) How far from the left end of the board is the person standing?